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Finding the Third Proportional to 199,432 and 299,285.50

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Solution

The third proportional to 199,432 and 299,285.50 is: 449,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,432 : 299,285.50 = 299,285.50 : x
  2. Step 2: Convert to fraction form
    199,432/299,285.50 = 299,285.50/x
  3. Step 3: Cross multiply
    199,432x = 299,285.50 × 299,285.50
  4. Step 4: Simplify right side
    199,432x = 89,571,810,510.25
  5. Step 5: Solve for x
    x = 89,571,810,510.25/199,432
  6. Step 6: Final answer
    x = 449,134.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.